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Finding the Third Proportional to 1,282,459,090 and 2,801,035,412

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Solution

The third proportional to 1,282,459,090 and 2,801,035,412 is: 6,117,777,510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,459,090 : 2,801,035,412 = 2,801,035,412 : x
  2. Step 2: Convert to fraction form
    1,282,459,090/2,801,035,412 = 2,801,035,412/x
  3. Step 3: Cross multiply
    1,282,459,090x = 2,801,035,412 × 2,801,035,412
  4. Step 4: Simplify right side
    1,282,459,090x = 7,845,799,379,278,009,344
  5. Step 5: Solve for x
    x = 7,845,799,379,278,009,344/1,282,459,090
  6. Step 6: Final answer
    x = 6,117,777,510.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.